Numerical Research on Hull–Propeller–Rudder–Ice Interaction of Full-Scale Polar Transport Ship in Brash Ice Channel by Jinlong Zhang, Jianing Zhang, Lei Zhang, Weimin Chen, Qingshan Zhang

“…Finally, experiments and numerical simulations of the total ice resistance are carried out under different brash ice thicknesses, and the results are consistent with those of the empirical formulas. …”
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DC Glow Discharge in Axial Magnetic Field at Low Pressures by Shen Gao, Shixiu Chen, Zengchao Ji, Wei Tian, Jun Chen

“…The calculated results satisfy the practical boundary conditions. …”
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Generating a New Convolution Function From Mittag-Leffler and Koebe Functions by Ali Halil Ghathith, Ahmed Mohammed Ali, Mohammed Thanoon Al-Neima

“…This paper finds many recursive relations, finds functions that are difficult to find using the inverse Laplace transform by analytic and mathematic programs, and finds several special cases. In addition, new formulas for the resulting function are obtained after using operations known as multiplication with a variable or an exponential function, division, integration, and differentiation.…”
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Singular Initial Value Problem for Certain Classes of Systems of Ordinary Differential Equations by Josef Diblík, Josef Rebenda, Zdeněk Šmarda

“…The results generalize some previous ones on singular initial value problems for differential equations.…”
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Stability and Bifurcation Analysis for a Delay Differential Equation of Hepatitis B Virus Infection by Xinchao Yang, Xiju Zong, Xingong Cheng, Zhenlai Han

“…Numerical simulation verifies the theoretical results.…”
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Pricing Option with Stochastic Interest Rates and Transaction Costs in Fractional Brownian Markets by Lina Song, Kele Li

“…By the mathematical software and the parameter estimation methods, the results are reported and compared with the data from the financial market.…”
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HEMT Noise Modeling for D Band Low Noise Amplifier Design by Ao Zhang, Jianjun Gao

“…An improved EEHEMT nonlinear model with noise model has been developed in this paper. Empirical formulas of bias dependent noise model parameters are given. …”
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Symmetry problems for gauge balls in the Heisenberg group by Giulio Tralli

“…To this aim, we review a uniqueness result for gauge balls obtained with V. Martino in [23] by means of overdetermined problems of Serrin-type. …”
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Multiplicative Attributes Derived from Graph Invariants for Saztec4 Diamond by Muhammad Haroon Aftab, Imran Siddique, Joshua Kiddy K. Asamoah, Hamiden Abd El-Wahed Khalifa, Muhammad Hussain

“…Subsequently, we compute the multiplicative topological attributes to get some new formulas. For this purpose, a simple, connected, and the finite graph is considered by supposing it Y as the graph of the Saztecn. …”
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Investigation of Steady Fluid Flow in Pre-Screen Zone of Well During Its Regeneration while Using Tube Post-Filter Flushing by V. V. Ivashechkin, P. A. Avtushko, A. M. Sheiko

“…The obtained results agree completely with the calculation dependences that testifies about the possibility to use the obtained formulas for description of the filtration flow originating in the pre-screen zone of a well during its hydrodynamic reagent-free flushing.…”
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Stability and Bifurcation Analysis of a Three-Dimensional Recurrent Neural Network with Time Delay by Yingguo Li

“…Applying the nor- mal form method and center manifold theory, we obtain some local bifurcation results and derive formulas for determining the bifurcation direction and the stability of the bifurcated periodic solution. …”
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Basic Principles for Calculating Heat Exchanger Characteristics under Conditions of Environmental Heat Losses by B. A. Bayrashevsky, N. P. Boroushko

“…The paper considers two most characteristic models of heat exchange mechanisms in heaters with due account of environmental heat losses. As a result of executed investigations a list of corresponding engineering formulae has been developed which can be used for determination of heat engineering characteristics of heat exchangers and calculation of heating modes of their operation.Authors of the paper have elaborated a special «Heat Exchanger» programming file that corroborates reliability of the executed analysis and makes it possible to carry out a number of the required calculations.…”
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The Hopf Bifurcation for a Predator-Prey System with -Logistic Growth and Prey Refuge by Shaoli Wang, Zhihao Ge

“…Numerical simulations are carried out to illustrate the main results.…”
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Hopf Bifurcation Analysis for a Computer Virus Model with Two Delays by Zizhen Zhang, Huizhong Yang

“…Finally, some numerical simulations are presented to support the theoretical results.…”
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Existence and Multiplicity of Solutions to Discrete Conjugate Boundary Value Problems by Bo Zheng

“…Our results are new even for the case of asymptotically linear.…”
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Hopf Bifurcation Analysis for a Four-Dimensional Recurrent Neural Network with Two Delays by Zizhen Zhang, Huizhong Yang

“…A four-dimensional recurrent neural network with two delays is considered. The main result is given in terms of local stability and Hopf bifurcation. …”
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Numerical Study on the Local Buckling Behaviour of Bolted Steel Plates in Steel Jacketing by Xiao-liang Xu, Zhou-dao Lu, Ling-zhi Li, Chang-jiu Jiang

“…Fitted formulae were developed to calculate the structural field capacity of the bolted steel plates, and recommended values of stiffener size were also provided to facilitate the strengthening design of steel jacketing.…”
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Remark on the Paper by Rao And Kakehashi (2005) by Saralees Nadarajah

“…The paper by Rao and Kakehashi [1]uses the Weibull distribution (given by equation (3) in the paper)and a truncated version of it (given by equations (4) and (5))to model HIV/AIDS data in India.After a careful reading, I have found that all of the results presentedin the appendix are incorrect (starting with equation (11) itself).Instead of pointing out all of the specific errors, I have chosen to give the correct formulas (and a brief outline of their derivation)for the $r$th moment of the truncated Weibull distribution.…”
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The analysis of continuous admissible currents and active power losses in overhead power lines taking into account climatic factors by E. V. Petrova, S. S. Girshin, V. A. Krivolapov, V. N. Goryunov, V. M. Trotsenko

“…Formulas for calculating continuous admissible currents and active power losses for overhead power transmission lines under conditions of natural and forced convection for insulated and non-insulated conductors are presented. …”
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On the symbol of singular operators in the case of contour with corner points by Vasile Neagu, Petru Moloșnic

“…In obtaining these results, we will essentially rely on the well-known results of I. …”
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